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206270040 = 23352959273
BaseRepresentation
bin11000100101101…
…10111001011000
3112101010121022010
430102312321120
5410301120130
632245025520
75053160244
oct1422667130
9471117263
10206270040
11a6485809
12590b52a0
13339711a2
141d575424
15131970b0
hexc4b6e58

206270040 has 64 divisors (see below), whose sum is σ = 640159200. Its totient is φ = 53107712.

The previous prime is 206270033. The next prime is 206270047. The reversal of 206270040 is 40072602.

It is a happy number.

206270040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206270033) and next prime (206270047).

It is a junction number, because it is equal to n+sod(n) for n = 206269989 and 206270016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206270047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26157 + ... + 33116.

Almost surely, 2206270040 is an apocalyptic number.

206270040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206270040 is an abundant number, since it is smaller than the sum of its proper divisors (433889160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206270040 is a wasteful number, since it uses less digits than its factorization.

206270040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59316 (or 59312 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 206270040 is about 14362.1043026431. The cubic root of 206270040 is about 590.8520104376.

The spelling of 206270040 in words is "two hundred six million, two hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 59273 118546 177819 237092 296365 355638 474184 592730 711276 889095 1185460 1422552 1718917 1778190 2370920 3437834 3556380 5156751 6875668 7112760 8594585 10313502 13751336 17189170 20627004 25783755 34378340 41254008 51567510 68756680 103135020 206270040